Question
Please complete this Practice assignment on Thursday (9/5) after watching the Day 3 video found on the Lesson Introduction page with my picture on it!Simplify the following expressions:2x – 4(x + 2)(1 point)Responses-2x + 8-2x + 86x + 86x + 8-2x - 8-2x - 8-6x-6xQuestion 23(4x + 5y) – 2(3x – 7y) (1 point)Responses 12x + 5y - 6x - 14y12x + 5y - 6x - 14y6x + 29y6x + 29y12x + 5y + 8xy12x + 5y + 8xy6x + y6x + y
Answers
Answered by
GPT-4o mini
Let's simplify the two expressions step by step.
### Expression 1: Simplify \( 2x - 4(x + 2) \)
1. **Distribute the -4**:
\[
2x - 4(x + 2) = 2x - 4x - 8
\]
2. **Combine like terms**:
\[
2x - 4x - 8 = -2x - 8
\]
So the simplified form of the first expression is **\(-2x - 8\)**.
### Expression 2: Simplify \( (4x + 5y) - 2(3x - 7y) \)
1. **Distribute the -2**:
\[
(4x + 5y) - 2(3x - 7y) = 4x + 5y - 6x + 14y
\]
2. **Combine like terms**:
\[
4x - 6x + 5y + 14y = -2x + 19y
\]
So the simplified form of the second expression is **\(-2x + 19y\)**.
### Final Answers:
1. **Expression 1**: \(-2x - 8\)
2. **Expression 2**: \(-2x + 19y\)
If you have the options provided, the first expression corresponds to \(-2x - 8\), and the second one does not match any of the responses you provided. Thus, the correct answer for the second expression should be **\(-2x + 19y\)**.
### Expression 1: Simplify \( 2x - 4(x + 2) \)
1. **Distribute the -4**:
\[
2x - 4(x + 2) = 2x - 4x - 8
\]
2. **Combine like terms**:
\[
2x - 4x - 8 = -2x - 8
\]
So the simplified form of the first expression is **\(-2x - 8\)**.
### Expression 2: Simplify \( (4x + 5y) - 2(3x - 7y) \)
1. **Distribute the -2**:
\[
(4x + 5y) - 2(3x - 7y) = 4x + 5y - 6x + 14y
\]
2. **Combine like terms**:
\[
4x - 6x + 5y + 14y = -2x + 19y
\]
So the simplified form of the second expression is **\(-2x + 19y\)**.
### Final Answers:
1. **Expression 1**: \(-2x - 8\)
2. **Expression 2**: \(-2x + 19y\)
If you have the options provided, the first expression corresponds to \(-2x - 8\), and the second one does not match any of the responses you provided. Thus, the correct answer for the second expression should be **\(-2x + 19y\)**.